Pith Number

pith:CM5Z5KJA

pith:2009:CM5Z5KJAK6EIALEDJMXDPX2XFY

not attested not anchored not stored refs pending

Classification of K3-surfaces with involution and maximal symplectic symmetry

Kristina Frantzen

arxiv:0906.1867 v1 · 2009-06-10 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CM5Z5KJAK6EIALEDJMXDPX2XFY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:15:36.309241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133b9ea9205788802c834b2e37df572e17eea5b4ce6b2bffb3811fd3b3b14844

Aliases

arxiv: 0906.1867 · arxiv_version: 0906.1867v1 · doi: 10.48550/arxiv.0906.1867 · pith_short_12: CM5Z5KJAK6EI · pith_short_16: CM5Z5KJAK6EIALED · pith_short_8: CM5Z5KJA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CM5Z5KJAK6EIALEDJMXDPX2XFY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 133b9ea9205788802c834b2e37df572e17eea5b4ce6b2bffb3811fd3b3b14844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75874814f146b6cbc842aff1f3e80e382cec548e4ffaf6137089e0ffa30caaf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-10T13:39:34Z",
    "title_canon_sha256": "4555456cc757dccd4b8a58d36324b2652fee5bcfc91e1256b9f27eaf0b972048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1867",
    "kind": "arxiv",
    "version": 1
  }
}